Answer
$385-895$pounds
Work Step by Step
Chebyshev’s theorem The proportion of values from a data set that will fall within k
standard deviations of the mean will be at least $1−1/k^2$, where k is a number greater
than 1 (k is not necessarily an integer).
36. Solid Waste Production The average college student
produces 640 pounds of solid waste each year. If the
standard deviation is approximately 85 pounds, within
what weight limits will at least 88.89% of all students’
garbage lie?
Let $1-1/k^2=0.8889$ we have $k=3$ and $3s=3\times85=255$.
The weight range would be $640-255$ to $640+255$ or $385-895$pounds